Finitely presented solvable groups and Lie algebras with unsolvable equality problem

1989 ◽  
Vol 46 (3) ◽  
pp. 731-739
Author(s):  
O. G. Kharlampovich
Keyword(s):  
Lie Algebras ◽  
Solvable Groups ◽  
Equality Problem ◽  
Finitely Presented

Intermediate growth in finitely presented algebras

2017 ◽  
Vol 27 (04) ◽  
pp. 391-401 ◽  
Author(s):  
Dilber Koçak
Keyword(s):  
Lie Algebras ◽  
Associative Algebras ◽  
Intermediate Growth ◽  
Type Formula ◽  
Growth Types ◽  
Finitely Presented

For any integer [Formula: see text], we construct examples of finitely presented associative algebras over a field of characteristic [Formula: see text] with intermediate growth of type [Formula: see text]. We produce these examples by computing the growth types of some finitely presented metabelian Lie algebras.

scholarly journals Finitely presented centre-by-metabelian Lie algebras

1999 ◽  
Vol 60 (2) ◽  
pp. 221-226 ◽  
Author(s):  
R.M. Bryant ◽  
J.R.J. Groves
Keyword(s):  
Lie Algebras ◽  
Finite Dimensional ◽  
Finitely Presented

It is shown that finitely presented centre-by-metabelian Lie algebras are Abelian-by-finite-dimensional.

Equality problem for center-by-metabelian Lie algebras

1984 ◽  
Vol 23 (3) ◽  
pp. 209-219 ◽  
Author(s):  
U. U. Umirbaev
Keyword(s):  
Lie Algebras ◽  
Equality Problem

scholarly journals Construction of Finitely Presented Lie Algebras and Superalgebras

1996 ◽  
Vol 21 (3) ◽  
pp. 337-349 ◽  
Author(s):  
VLADIMIR P. GERDT ◽  
VLADIMIR V KORNYAK
Keyword(s):  
Lie Algebras ◽  
Finitely Presented

scholarly journals Subalgebras of finitely presented solvable Lie algebras

1977 ◽  
Vol 45 (2) ◽  
pp. 295-305 ◽  
Author(s):  
Gilbert Baumslag
Keyword(s):  
Lie Algebras ◽  
Solvable Lie Algebras ◽  
Finitely Presented
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